Tridiagonal Solvers on the GPU and Applications to Fluid Simulation

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Agenda • Introduction and Problem Statement • Governing Equations • ADI Numerical Method • GPU Implementation and Optimizations • Results and Future Work
Introduction Direct Numerical Simulation • all scales of turbulence • expensive Turbulence simulation Large-Eddy Simulation • Research at Computer Science department of Moscow State University – Paskonov V.M., Berezin S.B. Reynolds-Averaged Navier-Stokes
Page 1: Tridiagonal <stron
Page 5 and 6: Definitions Density Velocity Temper
Page 7 and 8: Reynolds number • Similarity para
Page 9 and 10: Numerical Method • Alternating Di
Page 11 and 12: ADI - Navier-Stokes • Equation fo
Page 13 and 14: ADI - Fractional Time Step • Line
Page 15 and 16: Main Stages of the Algorithm • So
Page 17 and 18: Sweep algorithm • Memory requirem
Page 19 and 20: Sweep on the GPU • One thread sol
Page 21 and 22: Sweep - going into details • Memo
Page 23 and 24: Code analysis • GPU version is ba
Page 25 and 26: Performance - 128 - float time step
Page 27 and 28: Performance - 192 - float time step
Page 29 and 30: GPU performance - SP/DP time steps/
Page 31 and 32: Visual Results - X-slice u v w x =
Page 33 and 34: Conclusion • High performance and
Page 35 and 36: References • Paskonov V.M., Berez

Tridiagonal Solvers on the GPU and Applications to Fluid Simulation

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